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Finding the Fourth Proportional to 114.92, 171.96 and 99.76

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Solution

The fourth proportional to 114.92, 171.96 and 99.76 is: 149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.92 : 171.96 = 99.76 : x
  2. Step 2: Convert to fraction form
    114.92/171.96 = 99.76/x
  3. Step 3: Cross multiply
    114.92x = 171.96 × 99.76
  4. Step 4: Simplify right side
    114.92x = 17,154.73
  5. Step 5: Solve for x
    x = 17,154.73/114.92
  6. Step 6: Final answer
    x = 149.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.